Question

In Triangle ABC, ∠A + ∠B = 65° and ∠B + ∠C = 140°.Find the value of ∠B and ∠C.

Can anybody pls give the answer fast...

Answer 1

A + B = 65...Equation 1

B + C = 140...Equation 2

Solve Equation B for C.

C = 140 - B

The sum of the angles in a triangle is 180 degrees.

We know that A + B = 65.

65 + C = 180

We know that C = 140 - B.

65 + 140 - B = 180

205 - B = 180

-B = 180 - 205

-B = -25

B = -25/-1

B = 25

Plug B = 25 into B + C = 140 to find angle C.

25 + C = 140

C = 140 - 25

C = 115

Angle B = 25°.

Angle C = 115°.

Understand?